SOLUTION: I need help with this problem please! It's the substitution method 3x+2y=3, 9x-8y=-2

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Question 354015: I need help with this problem please! It's the substitution method
3x+2y=3, 9x-8y=-2

Found 2 solutions by mananth, stanbon:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
3x+2y=3,
-3x
2y=3-3x
/2
y=(3-3x)/2
..
9x-8y=-2
plug the value of y in the equation
9x-8*(3-3x)/2 =-2
9x-4(3-3x)=-2
9x-12+12x=-2
21x=10
x=10/21
...
plug value of x in any equation above
...
3x+2y=3
3(10/21)+2y=3
10/7+2y=3
2y=3-10/7
2y=11/7
/2
...
m.ananth@hotmail.ca
y=11/14

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
substitution method
3x+2y=3
9x-8y=-2
----
2y = 3-3x
-----
Substitute for 2y in the 2nd equation:
9x -4(3-3x) = -2
9x -12+12x = -2
21x = 10
x = 10/21
----
Since 2y = 3-3x
2y = 3-3(10/21)
2y = 3-(10/7) = 11/7
y = 11/14
====================
Cheers,
Stan H.
-----------------------
Solution: (10/21, 11/14)